SSC CHSL MATHS QUIZ

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Question 1:

If $x^{4} + x^{2} y^{2} + y^{4} = 3441$ and $x^{2} - x y + y^{2} = 37$ then find the value of $x + y + x y$

यदि $x^{4} + x^{2} y^{2} + y^{4} = 3441$ और $x^{2} - x y + y^{2} = 37$ है, तो $x + y + x y$ का मान क्या होगा?

Question 2:

If $a + b + c = 9$ and $a b + b c + c a = 18$ , then find the value of $a^{3} + b^{3} +$ $c^{3} - 3 a b c$

यदि $a + b + c = 9$ और $a b + b c + c a = 18$ है, तो $a^{3} + b^{3} + c^{3} - 3 a b c$ का मान ज्ञात कीजिए।

243

576

676

457

Question 3:

If $a^{2} - b^{2} = 55$ and $a + b = 11$ then find the value of $\frac{a^{3} + b^{3}}{a - b}$ ?

यदि $a^{2} - b^{2} = 55$ और $a + b = 11$ हो तब $\frac{a^{3} + b^{3}}{a - b}$ का मान ज्ञात करें?

\frac{524}{5}

\frac{524}{5}

\frac{529}{5}

\frac{529}{5}

\frac{539}{5}

\frac{539}{5}

\frac{589}{4}

\frac{589}{4}

Question 4:

If $x^{3} + 2 x^{2} + a x + b$ is exactly divisible by $(x^{2} - 9)$ , then the value of $(a - b)$ is:

यदि $x^{3} + 2 x^{2} + a x + b, (x^{2} - 9)$ से बिल्कुल विभाज्य है, तो $(a - b)$ का मान निम्न हैं:

- 27

- 27

- 9

- 9

Question 5:

If $x - \frac{1}{x} = 3$ , then what is the value of $\frac{2 x^{4} + 3 x^{3} + 13 x^{2} - 3 x + 2}{(3 x^{4} + 3)}$

यदि $x - \frac{1}{x} = 3$ , तो $\frac{2 x^{4} + 3 x^{3} + 13 x^{2} - 3 x + 2}{(3 x^{4} + 3)}$ का मान ज्ञात करें?

\frac{1}{3}

\frac{1}{3}

\frac{2}{5}

\frac{2}{3}

\frac{4}{3}

\frac{4}{3}

\frac{5}{3}

\frac{5}{3}

Question 6:

a b (a - b) + b c (b - c) + c a (c - a)

is equal to :

a b (a - b) + b c (b - c) + c a (c - a)

का मान है:

(a + b) (b - c) (c - a)

(a + b) (b - c) (c - a)

(a - b) (b - c) (c - a)

(a - b) (b - c) (c - a)

(b - a) (b - c) (c - a)

(b - a) (b - c) (c - a)

(a - b) (b + c) (c - a)

(a - b) (b + c) (c - a)

Question 7:

If $a^{2} + b^{2} = 10 b - 34 - 6 a$ , find $(b - a)$ :

यदि $a^{2} + b^{2} = 10 b - 34 - 6 a$ है, तो $(b - a)$ का मान है।

2

2

- 2

- 2

- 8

- 8

8

8

Question 8:

If $x = 7 + 4 \sqrt{3}$ , then the value of $\sqrt{x} - \frac{1}{\sqrt{x}}$ is:

यदि $x = 7 + 4 \sqrt{3}$ है, तो $^{\sqrt{x} - \frac{1}{\sqrt{x}}}$ का मान है:

4

4

\sqrt{10}

\sqrt{10}

3 \sqrt{2}

3 \sqrt{2}

2 \sqrt{3}

2 \sqrt{3}

Question 9:

a = 2 b = 8 c

and

a + b + c = 13

then the value of

\frac{\sqrt{a^{2} + b^{2} + c^{2}}}{2 c}

is?

यदि

a = 2 b = 8 c

and

a + b + c = 13

तो

\frac{\sqrt{a^{2} + b^{2} + c^{2}}}{2 c}

का मान क्या है?

\frac{11}{2}

\frac{11}{2}

\frac{7}{4}

\frac{7}{4}

\frac{9}{2}

\frac{9}{2}

\frac{13}{2}

\frac{13}{2}

Question 10:

If $x^{2} - 4 x + 1 = 0$ then $x^{6} + \frac{1}{x^{6}} = ?$

यदि $x^{2} - 4 x + 1 = 0$ तब $x^{6} + \frac{1}{x^{6}} = ?$

2702

2686

2798

2698